论文标题
提升锁定控制措施评估：从有限到无限维的流行病模型
Lifting Lockdown Control Measure Assessment: From Finite to Infinite-dimensional Epidemic Models for COVID-19
论文作者
论文摘要
本章的主要重点是公共卫生控制策略，这些策略目前是减轻Covid-19大流行的主要方法。我们介绍并比较了Covid-19传播的复杂性增加的隔室模型，以描述疾病扩散的动力学。首先，我们考虑了包括与COVID-19有关的基本特征的SEAIR模型。接下来，我们将注意年龄结构建模，以强调年龄组个人在疾病传播方面的作用。还制定了一个恒定延迟的模型，以显示潜伏期对Covid-19的严重程度的影响。由于有证据表明，对于Covid-19疾病，因此在宿主中发生的事情与人口水平发生的事情之间存在重要关系，我们将通过所谓的阈值延迟模型将基本模型与宿内动力学联系起来。最后，我们将对最复杂的模型包括人口影响，并将进行严格的分叉分析，以量化负责疾病进展的可能因素。
The main focus of this chapter is on public health control strategies which are currently the main way to mitigate COVID-19 pandemic. We introduce and compare compartmental models of increasing complexity for COVID-19 transmission to describe dynamics of the disease spread. We begin by considering an SEAIR model including basic characteristics related to COVID-19. Next, we shall pay attention to age-structure modeling to emphasis the role of age-group individuals on the disease spread. A Model with constant delay is also formulated to show the impact of the latency period on the severity of COVID-19. Since there is evidence that for COVID-19 disease, important relationships exist between what is happening in the host and what is occurring at the population level, we shall link the basic model to in-host dynamics through the so-called threshold-type delay models. Finally, we will include demographic effects to the most complex models and we will conduct rigorous bifurcation analysis to quantify possible factors responsible for disease progression.
